标题：A conservative numerical method for a class of unstable nonlinear Schr¨dinger equation
作者：Wang, Zhen ;Huang, Xia
作者机构：[Wang, Zhen ] School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;[Wang, Zhen ;Huang, Xia ] College of Informati 更多
来源：ICCASM 2010 - 2010 International Conference on Computer Application and System Modeling, Proceedings
摘要：This paper is concerned with the numerical solution to a class of unstable nonlinear Schr¨dinger equations. A conservative numerical scheme is devised, and three of its discrete conservation laws are proved. Meanwhile, stability and convergence of such scheme with second order convergence rate of time and space are proved by the energy method. In addition, a numerical example is given to demonstrate the accuracy and efficiency of the proposed method. © 2010 IEEE.